you are choosing between two different cell phone plans the first plant charges a rate of $0.23 per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable round up to the nearest whole minute.
To find out how many minutes you would need to use in a month for the second plan to be preferable, you need to set up an equation and solve for the number of minutes.
Let's assume the number of minutes used in a month is x.
For the first plan, the cost would be 0.23x (since the rate is $0.23 per minute).
For the second plan, the cost would be $49.95 + 0.09x (since there is a monthly fee of $49.95 plus 9 cents per minute).
To find when the second plan is preferable, we need to set up the following equation:
49.95 + 0.09x < 0.23x
Now we solve the equation for x:
49.95 < 0.23x - 0.09x
49.95 < 0.14x
49.95 / 0.14 < x
356.79 < x
Therefore, you would need to use more than 356 minutes in a month for the second plan to be preferable.
Rounding up to the nearest whole minute, you would need to use at least 357 minutes in a month for the second plan to be preferable.
To determine how many minutes would make the second plan preferable, we need to compare the costs of both plans.
Let's define:
Plan 1: Charges $0.23 per minute
Plan 2: Charges a monthly fee of $49.95 plus 9 cents per minute
In Plan 1, the cost is determined solely based on the number of minutes used.
In Plan 2, there is a fixed monthly fee of $49.95, which needs to be paid regardless of the number of minutes used. Additionally, there is an additional charge of 9 cents per minute.
To find out when the second plan becomes preferable, we need to set up an equation.
Let's assume x is the number of minutes used.
For Plan 1, the cost would be 0.23x.
For Plan 2, the cost would be 49.95 + 0.09x (monthly fee plus per-minute charge).
Now, we set up the equation to find when the costs are equal:
0.23x = 49.95 + 0.09x
Simplifying the equation:
0.23x - 0.09x = 49.95
0.14x = 49.95
Dividing both sides by 0.14:
x = 49.95 / 0.14
x ≈ 356.79
Since we need to round up to the nearest whole minute, the second plan becomes preferable when the number of minutes used is 357.
Therefore, if you use 357 or more minutes in a month, the second plan will be more cost-effective compared to the first plan.